Answer: 1.2115 as a fraction is 2423/2000
Converting the decimal number 1.2115 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
The decimal 1.2115 can be broken down as:
1.2115 = 1 + 0.2115
Here, 1 is the whole number part, and 0.2115 is the decimal part.
Focus on converting the decimal part, 0.2115, to a fraction. To do this, consider the place value of the decimal:
0.2115 =
2115
10000
Now, simplify the fraction 2115/10000. To do this, find the greatest common divisor (GCD) of 2115 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2115 ÷ 5
10000 ÷ 5
=
423
2000
So, 0.2115 as a fraction is 423/2000
Now that you have 1.2115 = 1 + 0.2115, express the entire number as a mixed fraction:
1.2115
= 1 +
423
2000
=
2000
2000
+
423
2000
=
2423
2000
Here, 2000/2000 is the whole number 1, and 423/2000 is the fractional part.
Answer: 1.2115 = 2423/2000
Converting 1.2115 to a fraction results in 2423/2000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.